Least Common Multiple of 4512 and 4520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4512 and 4520 the smallest integer that is 2549280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4512 and 4520 is 2549280.

LCM(4512,4520) = 2549280

LCM of 4512 and 4520

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4512 and 4520

LCM of 4512 and 4520 is 2549280

Least common multiple can be found by multiplying the highest exponent prime factors of 4512 and 4520. First we will calculate the prime factors of 4512 and 4520.

Prime Factorization of 4512


2 4512
2 2256
2 1128
2 564
2 282
3 141
47 47
1

Prime factors of 4512 are 2, 3,47. Prime factorization of 4512 in exponential form is:

4512 = 25×31×471

Prime Factorization of 4520


2 4520
2 2260
2 1130
5 565
113 113
1

Prime factors of 4520 are 2, 5,113. Prime factorization of 4520 in exponential form is:

4520 = 23×51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4512 and 4520.

LCM(4512,4520) = 25×31×51×471×1131
LCM(4512,4520) = 2549280

Factors of 4512

List of positive integer factors of 4512 that divides 4512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256, 4512

Factors of 4520

List of positive integer factors of 4520 that divides 4520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520

Least Common Multiple of 4512 and 4520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4512 and 4520, than apply into the LCM equation.

GCF(4512,4520) = 8
LCM(4512,4520) = ( 4512 × 4520) / 8
LCM(4512,4520) = 20394240 / 8
LCM(4512,4520) = 2549280

Properties of LCM 4512 and 4520

(i) The LCM of 4520 and 4512 is associative

LCM of 4512 and 4520 = LCM of 4520 and 4512

Related Least Common Multiples of 4512

Related Least Common Multiples of 4520

Frequently Asked Questions on LCM of 4512 and 4520

1. What is the LCM of 4512 and 4520?

Answer: LCM of 4512 and 4520 is 2549280.

2. What are the Factors of 4512?

Answer: Factors of 4512 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 94, 96, 141, 188, 282, 376, 564, 752, 1128, 1504, 2256, 4512. There are 24 integers that are factors of 4512. The greatest factor of 4512 is 4512.

3. What are the Factors of 4520?

Answer: Factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520. There are 16 integers that are factors of 4520. The greatest factor of 4520 is 4520.

4. How to Find the LCM of 4512 and 4520?

Answer:

Least Common Multiple of 4512 and 4520 = 2549280

Step 1: Find the prime factorization of 4512

4512 = 2 x 2 x 2 x 2 x 2 x 3 x 47

Step 2: Find the prime factorization of 4520

4520 = 2 x 2 x 2 x 5 x 113

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2549280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 47 x 113

Step 4: Therefore, the least common multiple of 4512 and 4520 is 2549280.